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Finding the Fourth Proportional to 471.47, 706.52 and 413.55

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Solution

The fourth proportional to 471.47, 706.52 and 413.55 is: 619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.47 : 706.52 = 413.55 : x
  2. Step 2: Convert to fraction form
    471.47/706.52 = 413.55/x
  3. Step 3: Cross multiply
    471.47x = 706.52 × 413.55
  4. Step 4: Simplify right side
    471.47x = 292,179.28
  5. Step 5: Solve for x
    x = 292,179.28/471.47
  6. Step 6: Final answer
    x = 619.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.